Informally, you can say the top of the fraction. But the only official name is "numerator".
Unit fraction
numerator
Numerator
The numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.
Reciprocal
Numerator.
That's the numerator.
Near enough what you describe in the question - except that you say "on" instead of "one". It has no special name.
mixed fraction
improper fraction
An improper fraction is a fraction in which the numerator is greater than or equal to the denominator.